Arpan Chandra Mazumder

activity

20242026

collaborators

5 papers

math.NT2026

An estimate for incomplete mixed character sums and applications

Arpan Chandra Mazumder, Giorgos Kapetanakis, Sushant Kala +1

Let $q$ be a prime power and $m > 1$ be any integer. Let $F_{q^{m}}$ be the finite field of order $q^{m}$ and $I^¸ \in F_{q^{m}}$ be such that $\mathbb F_{q^m} = \mathbb F(Î¸)…

math.NT2025

Normal and primitive normal elements with prescribed traces in intermediate extensions of finite fields

Arpan Chandra Mazumder, Giorgos Kapetanakis, Dhiren Kumar Basnet

In this article, we study the existence and distribution of elements in finite field extensions with prescribed traces in several intermediate extensions that are also either norma…

math.NT2024

Primitive normal pairs with prescribed traces over finite fields

Shikhamoni Nath, Arpan Chandra Mazumder, Dhiren Kumar Basnet

Let $q$ be a positive integral power of some prime $p$ and $F_{q^{m}}$ be a finite field with $q^{m}$ elements for some $m \in N$ . Here we establish a sufficient cond…

math.NT2024

Primitive normal pairs of elements with one prescribed trace

Arpan Chandra Mazumder, Himangshu Hazarika, Dhiren Kumar Basnet +1

Let $q, n, m \in N$ such that $q$ is a prime power, $m \geq 3$ and $a \in F$ . We establish a sufficient condition for the existence of a primitive normal pair ($Î…

math.NT2024

Primitive normal Values of rational functions with one prescribed norm and trace over finite fields

Arpan Chandra Mazumder, Dhiren Kumar Basnet

Let $q, n, m \in N$ be such that $q$ is a prime power and $a, b \in F$ . In this article we establish a sufficient condition for the existence of a primitive norma…